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The table contains the proof of the relationship between the slopes of two perpendicular lines. What is the reason for statement 2?

The table contains the proof of the relationship between the slopes of two perpendicular lines What is the reason for statement 2 class=

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dannielle
The triangles ABC and CED are similar 
⇒AB/EC=BC/DE=AC/CD
The reason is the last one:
Corresponding side lengths in similar triangles are proportional in lengh.
JeanaShupp

Answer :- Corresponding side lengths in similar triangle are proportional in length.

Explanation:-

The property of two similar triangles are:

  • Corresponding angles are congruent.
  • Corresponding side lengths in similar triangle are proportional in length.

Given :- ΔABC is similar to ΔCED

then [tex]\frac{AB}{BC}=\frac{BC}{DE}[/tex] [Corresponding side lengths in similar triangle are proportional in length.]

Thus the reason for statement 2 is Corresponding side lengths in similar triangle are proportional in length.


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